"Soft-pion" production in the reaction <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>NN</mi><mo>→</mo><mi>NN</mi><mi>π</mi></math></span>

J. Dubach; R. R. Silbar; W. M. Kloet

doi:10.1103/PhysRevD.22.2761

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"Soft-pion" production in the reaction $NN \to NN π$

J. Dubach^* and R. R. Silbar

W. M. Kloet

Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87545

Department of Physics and Astronomy, Rutgers University, New Brunswick, New Jersey 08903

^*Present address: Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01002.

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Phys. Rev. D 22, 2761 – Published 1 December, 1980

DOI: https://doi.org/10.1103/PhysRevD.22.2761

Abstract

We examine the reaction $NN \to NN π$ for "soft-pion" kinematics ( ${\vec{p}}_{π} = 0$ in the center of mass). An earlier calculation based on the Adler-Dothan theorem severely underestimated the ${\vec{p}}_{π} = 0$ cross section for $pp \to np π^{+}$ at 740 MeV. We attempt to understand this discrepancy in the context of a relativistic, unitary, three-body isobar model. The postemission $Δ$ -pole contributions are shown to be very important, even for these "soft-pion" kinematics. Relatively high partial waves in the $NN \to N Δ$ isobar amplitude are significant. However, after summing all the postemission and preemission diagrams, the discrepancy with experiment is only partially removed.

References (21)

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[c1] S. L. Adler, Phys. Rev. 139, B1638 (1965) S. L. Adler and Y. Dothan, ibid. 151, 1267 (1966)

[c2] F. E. Low, Phys. Rev. 110, 974 (1958) E. Nyman, ibid. 170, 1628 (1968)

[c3] C. T. Grant, M. E. Schillaci, and R. R. Silbar, Phys. Rev. 184, 1737 (1969)

[c4] D. R. F. Cochran, P. N. Dean, P. A. M. Gram, E. A. Knapp, E. R. Martin, D. E. Nagle, R. B. Perkins, W. J. Shlaer, H. A. Thiessen, and E. D. Theriot, Phys. Rev. D 6, 3085 (1972)

[c5] R. A. Arndt, private communication

[c6] M. E. Schillaci and R. R. Silbar, Phys. Rev. D 2, 1220 (1970)

[c7] S. Mandelstam, Proc. R. Soc London Ser. A: 244, 491 (1958)

[c8] L. Michelotti, Phys. Rev. D 17, 185 (1978)

[c9] P. Nuthakki and R. A. Uritam, Phys. Rev. D 6, 3233 (1972)

[c10] G. K. Greenhut and G. W. Intemann, Phys. Rev. D 14, 764 (1976)

[c11] P. Nuthakki and R. A. Uritam, Phys. Rev. D 8, 3196 (1973)

[c12] W. M. Kloet, R. R. Silbar, R. Aaron, and R. D. Amado, Phys. Rev. Lett. 27, 1643 (1977)

[c13] W. M. Kloet and R. R. Silbar, Nucl. Phys. A338, 281 (1980)

[c14] R. R. Silbar and W. M. Kloet, Nucl. Phys. A338, 317 (1980)

[c15] M. G. Olsson and E. T. Osypowski, Nucl. Phys. B101, 136 (1975)

[c16] M. D. Scadron and L. R. Thebaud, Phys. Rev. D 9, 1544 (1974)

[c17] M. D. Scadron and L. R. Thebaud, Phys. Rev. D 8, 2190 (1973)

[c18] J. T. MacMullen and M. D. Scadron, Phys. Rev. D 20, 1069 (1979) ibid.20, 1081 (1979)

[c19] A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, N.J., 1957)

[c20] ([12] A. R. Edmonds(unpublished)

[c21] E. Borie, D. Drechsel, and H. J. Weber, Z. Phys. 267, 393 (1974)

Physical Review D

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"Soft-pion" production in the reaction $NN \to NN π$

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"Soft-pion" production in the reaction NN→NNπ

Abstract

References (21)

"Soft-pion" production in the reaction $NN \to NN π$